#include<bits/stdc++.h>
using namespace std;
#define int long long
#define endl '\n'
const int N=1e6+10;
const int P=1e9+7;

pair<int,vector<int>>md[N];
int idx=0;
bool check(int x) {
	int l=-1e10;int r=1e10;
	int d;
	if(md[1].second.size()==1){
		d=md[1].second[0];
	}
	else {
		d=md[1].second[0];
		l=r=md[1].second[1];
	}
	for(int i=2;i<=idx;i++){
		int cha=md[i].first-md[i-1].first;
		cha=cha*x;
		l-=cha;r+=cha;
		if(md[i].second.size()==2){
			int pos1=md[i].second[0];int pos2=md[i].second[1];
			if(pos1>=d-cha&&pos1<=d+cha&&pos2>=l&&pos2<=r){
				d=pos1;
				l=r=pos2;
			}
			else if(pos2>=d-cha&&pos2<=d+cha&&pos1>=l&&pos1<=r){
				d=pos1;
				l=r=pos2;
			}
			else{
				return 0;
			}
		}
		else{
			int pos=md[i].second[0];
			if(pos>=l&&pos<=r&&pos>=d-cha&&pos<=d+cha){
				
				l=min(l,d-cha);
				r=max(r,d+cha);d=pos;
			}
			else{
				if(pos>=l&&pos<=r){
					l=d-cha;
					r=d+cha;
					d=pos;
				}
				else if(pos>=d-cha&&pos<=d+cha){
					d=pos;
				}
				else{
					return 0;
				}
			}
		}
	}
	return 1;
}
inline void solve() {
	int n;
	cin>>n;
	bool f=1;idx=0;
	for(int i=1; i<=n; i++) {
		int a,b;
		cin>>a>>b;
		if(md[idx].first!=a){
			md[++idx].first=a;
			md[idx].second.push_back(b);
		}
		else{
			md[idx].second.push_back(b);
		}
		if(md[idx].second.size()>2)f=0;
	}
	if(f) {
		
		int l=0;
		int r=1e9+100;
		while(l<r) {
			int mid=l+r>>1;
			if(check(mid))r=mid;
			else l=mid+1;
		}
		cout<<l<<endl;
	} else {
		cout<<-1<<endl;
	}
}
signed main() {

	cin.tie(0);
	cout.tie(0);
	int t;
	t=1;
	cin>>t;
	while(t--) {
		solve();
	}
}